Question

What is the next term of the geometric sequence?

2, -3, 4.5, ...
OA) -6.75
OB) -6.5
O C) 6.5
OD) 6.75

Answer 1

The next term in the geometric sequence is -6.75.

Step-by-step explanation:

This is a geometric sequence, where each term is found by multiplying the previous term by a constant ratio.

To find the ratio, we can divide any term by its previous term. Let's use the first two terms:

Ratio = -3 / 2 = -1.5

Now, to find the next term, we can multiply the last term by the ratio:

4.5 * -1.5 = -6.75

Therefore, the next term in the geometric sequence is -6.75.